Subiecte 7.02.2014 Grupa 6307 IAIE Teorie

1. Logica pozitiva si logica negative – nivele logice 2. Axioma asociativitatii 3. Teorema idempotentei 4. Poarta Sau-Exclusiv 5. Codificator de adresa simplu 6. Multiplexor cu 4 intrari 7. Sumatorul numeric 8. Conversia CBB T in CBB D 9. Tipuri de intrari in numarartoare 10. Registrul de memorare

Probleme 1. Se da functia descrisa de tabelul de adevar urmator: D 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 C 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 A 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 f 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 a) Sa se scrie ecuatia logica a functiei f b) Sa se minimizeze functia folosind axiomele si teoremele algebrei Boole c) Sa se implementeze cu porti logice functia minimizata 2. Se da functia logica:

g= ABCD + ABDC + ABCD + ABCD + ABDC + ABCD + CBAD + DCBA+ BACD a) Sa se construiasca tabelul de adevar al functiei b) Sa se minimizeze functia folosind metoda diagramei VK c) Sa se implementeze cu porti logice functia minimizata 3. Se se implemeneteze un numarator sincron cu celule JK utilizand metoda diagramelor VK, care sa numere invers in cod Gray.

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Subiecte 6.02.2014 Grupa 6302 IAD Teorie

1. Avantajele sistemelor numerice 2. Axioma comutativitatii 3. Teorema absorbtiei 4. Poarta Sau-Nu 5. Convertor din cod binar natural in cod Gray 6. Decodificator de adresa de 2 biti 7. Comparatorul numeric de 1 bit 8. Conversia CBB D in CBB JK 9. Tipuri binar asincron modulo p 10. Registrul de deplasare

Probleme 1. Se da functia descrisa de tabelul de adevar urmator: D 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 C 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 A 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 f 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 d) Sa se scrie ecuatia logica a functiei f e) Sa se minimizeze functia folosind axiomele si teoremele algebrei Boole f) Sa se implementeze cu porti logice functia minimizata 2. Se da functia logica:

g= ABCD + ABCD + ABDC + BACD + CBAD + DCBA+ ABCD + ACBD + ABCD d) Sa se construiasca tabelul de adevar al functiei e) Sa se minimizeze functia folosind metoda diagramei VK f) Sa se implementeze cu porti logice functia minimizata 3. Se se implemeneteze un numarator sincron cu celule JK utilizand metoda diagramelor VK, care sa numere in secventa 0, 2, 4, 6, 7, 5, 3, 1.

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